Ukraine has fended off 36 Russian air attacks in and around the capital while pro-Kyiv Russian fighters say they are battling Russian forces for a second day inside Russia, trading blame with Moscow for the deaths of two civilians.
Russia has launched about 20 waves of attacks on Kyiv since the beginning of May, a surge in strikes the government says appears aimed at derailing Ukraine's preparations for a major counteroffensive to try to end Russia's invasion.
A child was among two people injured by falling debris in a region outside the Ukrainian capital as air defences shot down what the air force said on Friday were 15 Russian cruise missiles and 21 drones.
"The occupiers are not stopping their attempts to terrorise the Ukrainian capital with strike drones and missiles," it said.
Russian officials reported cross-border shelling from several areas of northern Ukraine on Friday in the latest sign Kyiv is starting to push back beyond its borders after more than 15 months of all-out Russian assault.
The governor of Russia's Belgorod region said two people had been killed and two others injured when Ukrainian forces shelled a road in the town of Maslova Pristan near the Ukrainian border.
"Fragments of the shells hit passing cars," governor Vyacheslav Gladkov said.
"Two women were travelling in one of them.
"They died from their injuries on the spot."
Russia said on Thursday it had repelled a second attempted incursion into the Belgorod region in just over a week by what it casts as pro-Ukrainian militants.
Ukraine denies involvement.
The Freedom of Russia Legion blamed Russia for the shelling on Telegram while posting images of what it said was one of its tanks in the nearby Russian village of Novaya Tavolzhanka and soldiers taking cover behind a wall during a gunfight.
"Near Tavolzhanka, the enemy destroyed a Renault car with civilians, mistaking it for a car with our sabotage group," the Legion said on the Telegram messaging app.
"At least two civilians were killed, and this is a direct consequence of the lack of professionalism of Putin's army."
The group describes itself as Russians fighting against Russian President Vladimir Putin's government to create a Russia that would be part of the "free world".
Along with the Russian Volunteer Corps founded by a far-right Russian nationalist, it says they are Russian volunteers attacking under their own steam, and not on the orders of Ukraine.
Putin told a meeting of his Security Council on Friday "ill-wishers" were increasingly trying to destabilise Russia.
"We must do everything we can to make sure that under no circumstances will they be allowed to do this," Putin said.
The governors of the Bryansk, Kursk, Smolensk and Kaluga regions all reported shelling or drone attacks, with some buildings damaged and energy infrastructure targeted, although no fires at oil facilities or injuries were reported.
Within Ukraine, Russia said a new offensive in the eastern Donetsk province had been launched by Chechen special forces, while a Russian-installed official said Ukrainian forces had hit a "hospital camp" in Zaporizhzhia region.
Donetsk and Zaporizhzhia are two of four regions in eastern and southern Ukraine that Russia claims to have annexed in the invasion launched by Putin on February 24, 2022 to "demilitarise" a country it said threatened Russian-speakers and Russia with its moves towards the West.
